Euler complexes and geometry of modular varieties

2 00 5 Euler complexes and geometry of modular varieties

Euler complexes and geometry of modular varieties A . B . Goncharov

To Iosif Bernstein for his 60th birthday

1 9 M ay 2 00 6 Euler complexes and geometry of modular varieties A . B . Goncharov

A ug 2 00 8 A geometric degree formula for A - discriminants and Euler obstructions of toric varieties ∗

We give explicit formulas for the dimensions and the degrees of A-discriminant varieties introduced by Gelfand-Kapranov-Zelevinsky [15]. Our formulas can be applied also to the case where the A-discriminant varieties are higher-codimensional and their degrees are described by the geometry of the configurations A. Moreover combinatorial formulas for the Euler obstructions of general (not necessa...

A geometric degree formula for A-discriminants and Euler obstructions of toric varieties

We give explicit formulas for the dimensions and the degrees of A-discriminant varieties introduced by Gelfand-Kapranov-Zelevinsky [16]. Our formulas can be applied also to the case where the A-discriminant varieties are higher-codimensional and their degrees are described by the geometry of the configurations A. Moreover combinatorial formulas for the Euler obstructions of general (not necessa...